The effects of boundary imperfections on convection in a saturated porous layer: near-resonant wavelength excitation

DOI10.1017/S0022112089000327zbMath0661.76098MaRDI QIDQ3811959

David S. Riley, D. Andrew S. Rees

Publication date: 1989

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

zbMATH Keywords

Rayleigh-Bénard convectionsaturated porous layerWeakly nonlinear theoryclassical Rayleigh-Bénard problemevolution of unstable rollsLapwood convection

Mathematics Subject Classification ID

Absolute and convective instability and stability in hydrodynamic stability (76E15) Flows in porous media; filtration; seepage (76S05) Free convection (76R10) Forced convection (76R05) Basic methods in fluid mechanics (76M99)

Related Items (4)

A note on flow reversal in a wavy channel filled with anisotropic porous material ⋮ Modal package convection in a porous layer with boundary imperfections ⋮ Free convection in a horizontal porous layer with a partly heated or cooled wall ⋮ The onset of Darcy-Bénard convection in an inclined layer heated from below

Cites Work

• Effects of geometrical imperfection at the onset of convection in a shallow two-dimensional cavity
• Cellular patterns with boundary forcing
• Oscillatory instabilities of convection rolls at intermediate Prandtl numbers
• Free convection in an undulating saturated porous layer: resonant wavelength excitation
• The effects of boundary imperfections on convection in a saturated porous layer: non-resonant wavelength excitation
• On the Smooth Transition to Convection
• Large amplitude convection in porous media
• The smooth transition to a convective régime in a two-dimensional box
• Thermal convection with spatially periodic boundary conditions: resonant wavelength excitation
• Bénard convection in a finite box: secondary and imperfect bifurcations
• Finite bandwidth, finite amplitude convection

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